Abstract:
In any triangle ABC, three different mixtilinear incircles can be constructed. In this
articles, point D will be constructed on the circumcircle of triangle ABC in order
to obtain a cyclic quadrilteral ABCD, so that mixtiliner incircles can be formed.
By formulating various mixtilinear incircles radii, it will be shown that the ratio
of the product of the mixtilinear incircles radii of adjacent triangle is equal to the
diagonals of the cyclic quadrilateral.
